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A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?
- a)79.2 km/hr
- b)47.52 km/hr
- c)7.92 km/hr
- d)39.6 km/hr
- e)3.96 km/hr
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the ...
The radius of the wheel measures 21 cm.
In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.
∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.
In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.
∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.
In a minute, the distance covered by the wheel = circumference of the wheel * rpm
∴ this wheel will cover a distance of 132 * 600 = 79200 cm in a minute.
∴ this wheel will cover a distance of 132 * 600 = 79200 cm in a minute.
In an hour, the wheel will cover a distance of 79200 * 60 = 4752000 cm.
Therefore, the speed of the car = 4752000 cm/hr = 47.52 km/hr
Most Upvoted Answer
A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the ...
To find the speed of the car in km/hr, we need to first calculate the speed of the wheel in cm/min and then convert it to km/hr.
Given:
Radius of the wheel, r = 21 cm
Rotations per minute, RPM = 600
Calculation:
1. Circumference of the wheel:
The circumference of the wheel can be calculated using the formula:
Circumference = 2 * π * r
where π (pi) is a constant approximately equal to 3.14.
Substituting the value of r = 21 cm, we get:
Circumference = 2 * 3.14 * 21
= 132.6 cm
2. Distance covered by the wheel in one minute:
The distance covered by the wheel in one revolution is equal to its circumference.
Therefore, the distance covered by the wheel in one minute can be calculated as:
Distance covered in one minute = Circumference * RPM
Substituting the value of Circumference = 132.6 cm and RPM = 600, we get:
Distance covered in one minute = 132.6 * 600
= 79560 cm
3. Converting the distance from cm/min to km/hr:
We need to convert the distance from cm to km and time from minutes to hours.
1 km = 100000 cm
1 hour = 60 minutes
Speed (km/hr) = (Distance covered in cm/min * 60) / (100000 * 60)
Substituting the value of Distance covered in one minute = 79560 cm, we get:
Speed (km/hr) = (79560 * 60) / (100000 * 60)
= 47.52 km/hr
Therefore, the speed of the car is 47.52 km/hr, which is option B.
Given:
Radius of the wheel, r = 21 cm
Rotations per minute, RPM = 600
Calculation:
1. Circumference of the wheel:
The circumference of the wheel can be calculated using the formula:
Circumference = 2 * π * r
where π (pi) is a constant approximately equal to 3.14.
Substituting the value of r = 21 cm, we get:
Circumference = 2 * 3.14 * 21
= 132.6 cm
2. Distance covered by the wheel in one minute:
The distance covered by the wheel in one revolution is equal to its circumference.
Therefore, the distance covered by the wheel in one minute can be calculated as:
Distance covered in one minute = Circumference * RPM
Substituting the value of Circumference = 132.6 cm and RPM = 600, we get:
Distance covered in one minute = 132.6 * 600
= 79560 cm
3. Converting the distance from cm/min to km/hr:
We need to convert the distance from cm to km and time from minutes to hours.
1 km = 100000 cm
1 hour = 60 minutes
Speed (km/hr) = (Distance covered in cm/min * 60) / (100000 * 60)
Substituting the value of Distance covered in one minute = 79560 cm, we get:
Speed (km/hr) = (79560 * 60) / (100000 * 60)
= 47.52 km/hr
Therefore, the speed of the car is 47.52 km/hr, which is option B.
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A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?a)79.2 km/hrb)47.52 km/hrc)7.92 km/hrd)39.6 km/hre)3.96 km/hrCorrect answer is option 'B'. Can you explain this answer?
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A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?a)79.2 km/hrb)47.52 km/hrc)7.92 km/hrd)39.6 km/hre)3.96 km/hrCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?a)79.2 km/hrb)47.52 km/hrc)7.92 km/hrd)39.6 km/hre)3.96 km/hrCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?a)79.2 km/hrb)47.52 km/hrc)7.92 km/hrd)39.6 km/hre)3.96 km/hrCorrect answer is option 'B'. Can you explain this answer?.
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